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Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

Disordered Systems and Neural Networks · Physics 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

Our understanding of earthquakes is based on the theory of plate tectonics. Earthquake dynamics is the study of the interactions of plates (solid disjoint parts of the lithosphere) which produce seismic activity. Over the last about fifty…

Geophysics · Physics 2009-06-11 Pathikrit Bhattacharya , Bikas K. Chakrabarti , Kamal , Debashis Samanta

The earthquake-like model with a continuous distribution of static thresholds is used to describe the properties of solid friction. The evolution of the model is reduced to a master equation which can be solved analytically. This approach…

Statistical Mechanics · Physics 2008-08-06 Oleg Braun , Michel Peyrard

The number of earthquakes as a function of magnitude decays as a power law. This trend is usually justified using spring-block models, where slips with the appropriate global statistics have been numerically observed. However, prominent…

Disordered Systems and Neural Networks · Physics 2010-05-24 E. A. Jagla , A. B. Kolton

We systematically study effects of external perturbations on models describing earthquake fault dynamics. The latter are based on the framework of the Burridge-Knopoff spring-block system, including the cases of a simple mono-block fault,…

In order to clarify how the statistical properties of earthquakes depend on the constitutive law characterizing the stick-slip dynamics, we make an extensive numerical simulation of the one-dimensional spring-block model with the rate- and…

Other Condensed Matter · Physics 2009-11-11 Akio Ohmura , Hikaru Kawamura

The transition from quasi-static slip growth to dynamic rupture propagation constitutes one possible scenario to describe earthquake nucleation. If this transition is rather well understood for homogeneous faults, how the friction…

Materials Science · Physics 2022-03-18 Mathias Lebihain , Thibault Roch , Marie Violay , Jean-François Molinari

This paper addresses the possibility of using robust control theory for preventing earthquakes through fluid injections in the earth's crust. The designed robust controllers drive aseismically a fault system to a new equilibrium point of…

Optimization and Control · Mathematics 2024-12-10 Diego Gutiérrez-Oribio , Georgios Tzortzopoulos , Ioannis Stefanou , Franck Plestan

A model for fault dynamics consisting of two rough and rigid brownian profiles that slide one over the other is introduced. An earthquake occurs when there is an intersection between the two profiles. The energy release is proportional to…

Condensed Matter · Physics 2019-08-17 V. De Rubeis , R. Hallgass , V. Loreto , G. Paladin , L. Pietronero , P. Tosi

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

Materials Science · Physics 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

Tectonic deformation crucially shapes the Earth's surface, with strain localization resulting in the formation of shear zones and faults that accommodate significant tectonic displacement. Earthquake dynamic rupture models, which provide…

Geophysics · Physics 2024-07-31 Anthony Jourdon , Jorge Nicolas Hayek , Dave A. May , Alice-Agnes Gabriel

The dynamical behavior caused by dry friction is studied for a spring-block system pulled with constant velocity over a surface. The dynamical consequences of a general type of phenomenological friction law (stick-time dependent static…

chao-dyn · Physics 2009-10-30 Franz-Josef Elmer

We present a two-dimensional spring-block model of earthquakes with the full nonlinear equations for the forces in terms of displacements. Correspondence of our linearized version to earlier models reveals in them inherently asymmetric…

Condensed Matter · Physics 2008-02-03 Kwan-tai Leung , Judith Müller , Jørgen Vitting Andersen

We have developed a model that describes the major characteristics of a rupture, ranging from regular earthquakes (EQs) to slow slip events (SSEs), including episodic tremor and slip (ETS). Previous model predictions, while accurate, are…

Geophysics · Physics 2019-09-11 Naum I. Gershenzon , Cong Zhou , Thomas Skinner

Spatio-temporal correlations of earthquakes are studied numerically on the basis of the one-dimensional spring-block (Burridge-Knopoff) model. As large events approach, the frequency of smaller events gradually increases, while, just before…

Other Condensed Matter · Physics 2009-11-10 Takahiro Mori , Hikaru Kawamura

The Carlson-Langer model is a deterministic model of earthquakes. There were many investigations of this model, but its complicated spatio-temporal dynamics is not yet completely understood. We again study the model equation numerically,…

Geophysics · Physics 2015-06-17 Hidetsugu Sakaguchi , Shingo Morita

Since long back, scientists have been putting enormous effort to understand earthquake dynamics -the goal is to develop a successful prediction scheme which can provide reliable alarm that an earthquake is imminent. Model studies sometimes…

Statistical Mechanics · Physics 2009-08-03 Srutarshi Pradhan

Spatiotemporal correlations of the two-dimensional spring-block (Burridge-Knopoff) models of earthquakes with the long-range inter-block interactions are extensively studied by means of numerical computer simulations. The long-range…

Other Condensed Matter · Physics 2009-11-13 Takahiro Mori , Hikaru Kawamura

We investigate the nonlinear properties of a system introduced by Burridge and Knopoff to model the dynamics of earthquakes. We find that a two-block system in a completely homogeneous configuration presents a complex behavior characterized…

Condensed Matter · Physics 2007-05-23 Maria de Sousa Vieira

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau
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